Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics

Victorita Dolean, Hassan Fahs, Loula Fezoui, Stéphane Lanteri

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

3 Citations (Scopus)

Abstract

In the recent years, there has been an increasing interest in discontinuous Galerkin time domain (DGTD) methods for the numerical modeling of electromagnetic wave propagation. Such methods most often rely on explicit time integration schemes which are constrained by a stability condition that can be very restrictive on highly refined meshes. In this paper, we report on some efforts to design a hybrid explicit-implicit DGTD method for solving the time domain Maxwell equations on locally refined simplicial meshes. The proposed method consists in applying an implicit time integration scheme locally in the refined regions of the mesh while preserving an explicit time scheme in the complementary part.

Original languageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations
Subtitle of host publicationSelected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway
EditorsJan S. Hesthaven, Einar M. Rønquist
Place of PublicationLondon
PublisherSpringer
Pages163-170
Number of pages8
ISBN (Print)9783642153365
DOIs
Publication statusPublished - 2 Nov 2011
Event8th International Conference on Spectral and High Order Methods, ICOSAHOM'09 - Trondheim, Norway
Duration: 22 Jun 200926 Jun 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume76
ISSN (Print)1439-7358

Conference

Conference8th International Conference on Spectral and High Order Methods, ICOSAHOM'09
CountryNorway
CityTrondheim
Period22/06/0926/06/09

Keywords

  • implicit time
  • discontinuous Galerkin method
  • time integration scheme
  • electromagnetic wave propagation
  • simplicial mesh

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    Dolean, V., Fahs, H., Fezoui, L., & Lanteri, S. (2011). Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. In J. S. Hesthaven, & E. M. Rønquist (Eds.), Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway (pp. 163-170). (Lecture Notes in Computational Science and Engineering; Vol. 76). Springer. https://doi.org/10.1007/978-3-642-15337-2_13